(A) The general formula for the $n^{th}$ term of an Arithmetic Progression $(A.P.)$ is given by $a_n = a + (n - 1)d$,where $a$ is the first term,$d$ i

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(A) The general formula for the $n^{th}$ term of an Arithmetic Progression $(A.P.)$ is given by $a_n = a + (n - 1)d$,where $a$ is the first term,$d$ is the common difference,and $n$ is the term number.To find the tenth term $(n = 10)$,substitute the value of $n$ into the formula:$a_{10} = a + (10 - 1)d$$a_{10} = a + 9d$Therefore,the tenth term is $a + 9d$.

Class 10 Mathematics Arithmetic Progressions Mix Examples - Arithmetic Progressions

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The tenth term of the $A.P.$ with first term $a$ and common difference $d$ is.....

A
$a+9d$
B
$a+10d$
C
$10a$
D
$10d$

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Class 10

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Arithmetic Progressions

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Mix Examples - Arithmetic Progressions

Prove that $(a-b)^{2}, (a^{2}+b^{2})$ and $(a+b)^{2}$ form an $A.P.$

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In an $AP$,if $S_{n} = 3n^{2} + 5n$ and $a_{k} = 164$,find the value of $k$.

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The first term of a finite $A.P.$ is $5$ and its last term is $45$. If the sum of all the terms is $500$,there are $\ldots$ terms in the $A.P.$

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The formula to find the $n^{th}$ term of an $A.P.$ is $\ldots \ldots \ldots \ldots .$

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For any given Arithmetic Progression $(A.P.)$,the common difference $d$ is equal to:

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The tenth term of the $A.P.$ with first term $a$ and common difference $d$ is.....

Similar Questions

Prove that $(a-b)^{2}, (a^{2}+b^{2})$ and $(a+b)^{2}$ form an $A.P.$

In an $AP$,if $S_{n} = 3n^{2} + 5n$ and $a_{k} = 164$,find the value of $k$.

The first term of a finite $A.P.$ is $5$ and its last term is $45$. If the sum of all the terms is $500$,there are $\ldots$ terms in the $A.P.$

The formula to find the $n^{th}$ term of an $A.P.$ is $\ldots \ldots \ldots \ldots .$

For any given Arithmetic Progression $(A.P.)$,the common difference $d$ is equal to:

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